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Finding the Fourth Proportional to 1,784.40, 2,677.53 and 688.74

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Solution

The fourth proportional to 1,784.40, 2,677.53 and 688.74 is: 1,033.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.40 : 2,677.53 = 688.74 : x
  2. Step 2: Convert to fraction form
    1,784.40/2,677.53 = 688.74/x
  3. Step 3: Cross multiply
    1,784.40x = 2,677.53 × 688.74
  4. Step 4: Simplify right side
    1,784.40x = 1,844,122.01
  5. Step 5: Solve for x
    x = 1,844,122.01/1,784.40
  6. Step 6: Final answer
    x = 1,033.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.